An Implementation of the Scheffé Approach to Calibration Using Spline Functions, Illustrated by a Pressure-Volume Calibration

This article presents an implementation of a Scheffé-type calibration procedure to the pressure-volume relationship for nuclear-materials processing tanks. We use splines (piecewise poly-nomials) to fit this relationship and present a comparison between the propagation of error and the Scheffé formulation of statistical uncertainties. An ASCII FORTRAN program and user's manual are available for performing the analysis. The recommended procedure is demonstrated on tank data collected by the National Bureau of Standards.